MARS: An Analytic Framework of Interface Tracking via Mapping and Adjusting Regular Semialgebraic Sets

DOI10.1137/140966812zbMath1332.76066OpenAlexW2330586106MaRDI QIDQ2791764

Qinghai Zhang, Aaron L. Fogelson

Publication date: 16 March 2016

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/cd132e40d18d69f459c56ed3e20a5ff2866c5c34

zbMATH Keywords

interface trackingcurvature estimationMARSvolume-of-fluid methodsdiscrete flow mapsfront tracking methodsiPAM methodmoment-of-fluid methodspolygonal area mappingregular semialgebraic sets

Mathematics Subject Classification ID

Related Items (13)

Partial optimal transport for a constant-volume Lagrangian mesh with free boundaries ⋮ An Energy-Splitting High-Order Numerical Method for Multi-material Flows ⋮ GePUP: generic projection and unconstrained PPE for fourth-order solutions of the incompressible Navier-Stokes equations with no-slip boundary conditions ⋮ Fourth- and Higher-order Interface Tracking Via Mapping and Adjusting Regular Semianalytic sets Represented by Cubic Splines ⋮ A hybrid inference system for improved curvature estimation in the level-set method using machine learning ⋮ HFES: A Height Function Method with Explicit Input and Signed Output for High-Order Estimations of Curvature and unit Vectors of Planar Curves ⋮ Parabolic interface reconstruction for 2D volume of fluid methods ⋮ A fourth-order unfitted characteristic finite element method for free-boundary problems ⋮ Moments-based interface reconstruction, remap and advection ⋮ Boolean algebra of two-dimensional continua with arbitrarily complex topology ⋮ VOF method in two-stage fourth order time-stepping framework ⋮ A-SLEIPNNIR: a multiscale, anisotropic adaptive, particle level set framework for moving interfaces. Transport equation applications ⋮ Importance of curvature evaluation scale for predictive simulations of dynamic gas-liquid interfaces

Uses Software

• MARS
• MARS
• AMRCFI
• GePUP
• SADoRe

Cites Work

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